641410000 has 400 divisors, whose sum is σ = 2091830400. Its totient is φ = 188160000.

The previous prime is 641409997. The next prime is 641410009. The reversal of 641410000 is 14146.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×641410000² = 822813576200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (641410009) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 37729992 + ... + 37730008.

It is an arithmetic number, because the mean of its divisors is an integer number (5229576).

Almost surely, 2^641410000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 641410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1045915200).

641410000 is an abundant number, since it is smaller than the sum of its proper divisors (1450420400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

641410000 is a wasteful number, since it uses less digits than its factorization.

641410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 641410000 is about 25326.0735211758. The cubic root of 641410000 is about 862.4062770106.

Adding to 641410000 its reverse (14146), we get a palindrome (641424146).

The spelling of 641410000 in words is "six hundred forty-one million, four hundred ten thousand".